Math, asked by jtlokare16351, 4 months ago

(4) Solve the following simultaneous equations
49x - 57y = 172; 57x - 49y = 252

Answers

Answered by jkaur855419
1

Step-by-step explanation:

x-y =4

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Answered by nehapandey13
2

Step-by-step explanation:

ANSWER

49x−57y=172...........(I)

57x−49y=252...........(II)

Adding (I) and (II)

49x+57x−57y−49y=172+252

⇒106x−106y=424

⇒x−y=4...............(III)

Subtracting (II) from (I) we have

49x+57x−57y−(−49y)=252−172

⇒−8x−8y=−80

⇒−x−y=−10

⇒x+y=10...............(IV)

Adding (III) and (IV)

x−y=4

x+y=10

⇒2x=14

⇒x=7

Putting the value of x = 7 in (IV) we get

7+y=10

⇒y=10−7

⇒y=3

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